Relevant bibliographies by topics / Invariant cone

Academic literature on the topic 'Invariant cone'

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Published: 11 March 2023

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Journal articles on the topic "Invariant cone"

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Kasigwa, Michael, and Michael Tsatsomeros. "Eventual Cone Invariance." Electronic Journal of Linear Algebra 32 (February 6, 2017): 204–16. http://dx.doi.org/10.13001/1081-3810.3484.

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Eventually nonnegative matrices are square matrices whose powers become and remain (entrywise) nonnegative. Using classical Perron-Frobenius theory for cone preserving maps, this notion is generalized to matrices whose powers eventually leave a proper cone K ⊂ R^n invariant, that is, A^mK ⊆ K for all sufficiently large m. Also studied are the related notions of eventual cone invariance by the matrix exponential, as well as other generalizations of M-matrix and dynamical system notions.
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Parrilo, P. A., and S. Khatri. "On cone-invariant linear matrix inequalities." IEEE Transactions on Automatic Control 45, no. 8 (2000): 1558–63. http://dx.doi.org/10.1109/9.871772.

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Abbas, Mujahid, and Pasquale Vetro. "Invariant approximation results in‎ ‎cone metric spaces." Annals of Functional Analysis 2, no. 2 (2011): 101–13. http://dx.doi.org/10.15352/afa/1399900199.

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Westland, Stephen, and Caterina Ripamonti. "Invariant cone-excitation ratios may predict transparency." Journal of the Optical Society of America A 17, no. 2 (February 1, 2000): 255. http://dx.doi.org/10.1364/josaa.17.000255.

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Chodos, Alan. "Tachyons as a Consequence of Light-Cone Reflection Symmetry." Symmetry 14, no. 9 (September 19, 2022): 1947. http://dx.doi.org/10.3390/sym14091947.

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We introduce a new symmetry, light-cone reflection (LCR), which interchanges timelike and spacelike intervals. Our motivation is to provide a reason, based on symmetry, why tachyons might exist, with emphasis on application to neutrinos. We show that LCR, combined with translations, leads to a much larger symmetry. We construct an LCR-invariant Lagrangian and discuss some of its properties. In a simple example, we find complete symmetry in the spectrum between tachyons and ordinary particles. We also show that the theory allows for the introduction of a further gauge invariance related to chiral symmetry.
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Malesza, Wiktor, and Witold Respondek. "Linear cone-invariant control systems and their equivalence." International Journal of Control 91, no. 8 (June 21, 2017): 1818–34. http://dx.doi.org/10.1080/00207179.2017.1333153.

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Hisabia, Aritra Narayan, and Manideepa Saha. "On Properties of Semipositive Cones and Simplicial Cones." Electronic Journal of Linear Algebra 36, no. 36 (December 3, 2020): 764–72. http://dx.doi.org/10.13001/ela.2020.5553.

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For a given nonsingular $n\times n$ matrix $A$, the cone $S_{A}=\{x:Ax\geq 0\}$ , and its subcone $K_A$ lying on the positive orthant, called as semipositive cone, are considered. If the interior of the semipositive cone $K_A$ is not empty, then $A$ is named as semipositive matrix. It is known that $K_A$ is a proper polyhedral cone. In this paper, it is proved that $S_{A}$ is a simplicial cone and properties of its extremals are analyzed. An one-one relation between simplicial cones and invertible matrices is established. For a proper cone $K$ in $\mathbb{R}^n$, $\pi(K)$ denotes the collection of $n\times n$ matrices that leave $K$ invariant. For a given minimally semipositive matrix (no column-deleted submatrix is semipositive) $A$, it is shown that the invariant cone $\pi(K_A)$ is a simplicial cone.
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BRISUDOVA, MARTINA. "SMALL x DIVERGENCES IN THE SIMILARITY RG APPROACH TO LF QCD." Modern Physics Letters A 17, no. 02 (January 20, 2002): 59–81. http://dx.doi.org/10.1142/s0217732302006308.

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We study small x divergences in boost invariant similarity renormalization group approach to light-front QCD in a heavy quark–antiquark state. With the boost invariance maintained, the infrared divergences do not cancel out in the physical states, contrary to previous studies where boost invariance was violated by a choice of a renormalization scale. This may be an indication that the zero mode, or nontrivial light-cone vacuum structure, might be important for recovering full Lorentz invariance.
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Kosheleva, Olga, and Vladik Kreinovich. "ON GEOMETRY OF FINSLER CAUSALITY: FOR CONVEX CONES, THERE IS NO AFFINE-INVARIANT LINEAR ORDER (SIMILAR TO COMPARING VOLUMES)." Mathematical Structures and Modeling, no. 1 (May 30, 2020): 49–55. http://dx.doi.org/10.24147/2222-8772.2020.1.49-55.

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Some physicists suggest that to more adequately describe the causal structure of space-time, it is necessary to go beyond the usual pseudoRiemannian causality, to a more general Finsler causality. In this general case, the set of all the events which can be influenced by a given event is, locally, a generic convex cone, and not necessarily a pseudo-Reimannian-style quadratic cone. Since all current observations support pseudo-Riemannian causality, Finsler causality cones should be close to quadratic ones. It is therefore desirable to approximate a general convex cone by a quadratic one. This can be done if we select a hyperplane, and approximate intersections of cones and this hyperplane. In the hyperplane, we need to approximate a convex body by an ellipsoid. This can be done in an affine-invariant way, e.g., by selecting, among all ellipsoids containing the body, the one with the smallest volume; since volume is affine-covariant, this selection is affine-invariant. However, this selection may depend on the choice of the hyperplane. It is therefore desirable to directly approximate the convex cone describing Finsler causality with the quadratic cone, ideally in an affine-invariant way. We prove, however, that on the set of convex cones, there is no affine-covariant characteristic like volume. So, any approximation is necessarily not affine-invariant.
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HATZINIKITAS, AGAPITOS, and IOANNIS SMYRNAKIS. "CLOSED BOSONIC STRING PARTITION FUNCTION IN TIME INDEPENDENT EXACT pp-WAVE BACKGROUND." International Journal of Modern Physics A 21, no. 05 (February 20, 2006): 995–1013. http://dx.doi.org/10.1142/s0217751x06025493.

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The modular invariance of the one-loop partition function of the closed bosonic string in four dimensions in the presence of certain homogeneous exact pp -wave backgrounds is studied. In the absence of an axion field, the partition function is found to be modular invariant and equal to the free field partition function. The partition function remains unchanged also in the presence of a fixed axion field. However, in this case, the covariant form of the action suggests summation over all possible twists generated by the axion field. This is shown to modify the partition function. In the light-cone gauge, the axion field generates twists only in the worldsheet σ-direction, so the resulting partition function is not modular invariant, hence wrong. To obtain the correct partition function one needs to sum over twists in the t-direction as well, as suggested by the covariant form of the action away from the light-cone gauge.
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Dissertations / Theses on the topic "Invariant cone"

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Bakit, Hany Albadrey Hosham [Verfasser], Tassilo [Akademischer Betreuer] Küpper, and Rüdiger [Akademischer Betreuer] Seydel. "Cone-like Invariant Manifolds for Nonsmooth Systems / Hany Albadrey Hosham Bakit. Gutachter: Tassilo Küpper ; Rüdiger Seydel." Köln : Universitäts- und Stadtbibliothek Köln, 2011. http://d-nb.info/1038065402/34.

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Fornasin, Nelvis [Verfasser], Sebastian [Akademischer Betreuer] Goette, and Katrin [Akademischer Betreuer] Wendland. "[eta] invariants under degeneration to cone-edge singularities = η invariants under degeneration to cone-edge singularities." Freiburg : Universität, 2019. http://d-nb.info/1203804326/34.

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Abdalla, Leonardo Batoni. "Propriedades eletrônicas dos isolantes topológicos." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-17072015-140214/.

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Na busca de um melhor entendimento das propriedades eletrônicas e magnéticas dos isolantes topológicos nos deparamos com uma das suas caraterísticas mais marcantes, a existência de estados de superfície metálicos com textura helicoidal de spin os quais são protegidos de impurezas não magnéticas. Na superfície estes canais de spin possuem um potencial enorme para aplicações em dispositivos spintrônicos. Muito há para se fazer e o tratamento via cálculos de primeiros princípios por simulações permite um caráter preditivo que corrobora na elucidação de fenômenos físicos via análises experimentais. Nesse trabalho analisamos as propriedades eletrônicas de isolantes topológicos tais como: (Bi,Sb)$_2$(Te,Se)$_3$, Germaneno e Germaneno funcionalizado. Cálculos baseados em DFT evidenciam a importância das separações entre as camadas de Van der Waals nos materiais Bi$_2$Se$_3$ e Bi$_2$Te$_3$. Mostramos que devido a falhas de empilhamento, pequenas oscilações no eixo de QLs (\\textit{Quintuple Layers}) podem gerar um desacoplamento dos cones de Dirac, além de criar estados metálicos na fase \\textit{bulk} de Bi$_2$Te$_3$. Em se tratando do Bi$_2$Se$_3$ um estudo sistemático dos efeitos de impurezas de metais de transição foi realizado. Observamos que há quebra de degenerescência do cone de Dirac se houver magnetização em quaisquer dos eixos. Além disso se a magnetização permanecer no plano, além de uma pequena quebra de degenerescência, há um deslocamento do mesmo para outro ponto da rede recíproca. No entanto, se a magnetização apontar para fora do plano a quebra ocorre no próprio ponto $\\Gamma$, porém de maneira mais intensa. Importante enfatizar que além de mapear os sítios com suas orientações magnéticas de menor energia observamos que a quebra da degenerescência está diretamente relacionada com a geometria local da impureza. Isso proporciona imagens de STM distintas para cada sítio possível, permitindo que um experimental localize cada situação no laboratório. Estudamos ainda a transição topológica na liga (Bi$_x$Sb$_{1-x}$)$_2$Se$_3$, onde identificamos um isolante trivial e topológico para $x=0$ e $x=1$. Apesar de óbvia a existência de tal transição, detalhes importantes ainda não estão esclarecidos. Concluímos que a dopagem com impurezas não magnéticas proporciona uma boa técnica para manipulação e engenharia de cone nesta família de materiais, de forma que dependendo da faixa de dopagem podemos eliminar a condutividade que advém do \\textit{bulk}. Finalmente estudamos superfícies de Germaneno e Germaneno funcionalizado com halogênios. Usando uma funcionalização assimétrica e com a avalição do invariante topológico $Z_2$ notamos que o material Ge-I-H é um isolante topológico podendo ser aplicado na elaboração de dispositivos baseados em spin.
In the search of a better understanding of the electronic and magnetic properties of topological insulators we are faced with one of its most striking features, the existence of metallic surface states with helical spin texture which are protected from non-magnetic impurities. On the surface these spin channels allows a huge potential for applications in spintronic devices. There is much to do and treating calculations via \\textit{Ab initio} simulations allows us a predictive character that corroborates the elucidation of physical phenomena through experimental analysis. In this work we analyze the electronic properties of topological insulators such as: (Bi, Sb)$_2$(Te, Se)$_3$, Germanene and functionalized Germanene. Calculations based on DFT show the importance of the separation from interlayers of Van der Waals in materials like Bi$_2$Se$_3$ and Bi$_2$Te$_3$. We show that due to stacking faults, small oscillations in the QLs axis (\\textit{Quintuple Layers}) can generate a decoupling of the Dirac cones and create metal states in the bulk phase Bi$_2$Te$_3$. Regarding the Bi$_2$Se$_3$ a systematic study of the effects of transition metal impurities was performed. We observed that there is a degeneracy lift of the Dirac cone if there is any magnetization on any axis. If the magnetization remains in plane, we observe a small shift to another reciprocal lattice point. However, if the magnetization is pointing out of the plane a lifting in energy occurs at the very $ \\Gamma $ point, but in a more intense way. It is important to emphasize that in addition to mapping the sites with their magnetic orientations of lower energy we saw that the lifting in energy is directly related to the local geometry of the impurity. This provides distinct STM images for each possible site, allowing an experimental to locate each situation in the laboratory. We also studied the topological transition in the alloy (Bi$_x$Sb$_{1-x}$)$_ 2$Se$_3$, where we identify a trivial and topological insulator for $x = 0$ and $x = 1$. Despite the obvious existence of such a transition, important details remain unclear. We conclude that doping with non-magnetic impurities provides a good technique for handling and cone engineering this family of materials so that depending on the range of doping we can eliminate conductivity channels coming from the bulk. Finally we studied a Germanene and functionalized Germanene with halogens. Using an asymmetrical functionalization and with the topological invariant $Z_2$ we noted that the Ge-I-H system is a topological insulator that could be applied in the development of spin-based devices.
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Yasamin, A. S. "Maximal invariants over symmetric cones." [Bloomington, Ind.] : Indiana University, 2008. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3337265.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2008.
Title from PDF t.p. (viewed on Jul 28, 2009). Source: Dissertation Abstracts International, Volume: 69-12, Section: B, page: 7597. Adviser: Steen Andersson.
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Kapanadze, David, Bert-Wolfgang Schulze, and Ingo Witt. "Coordinate invariance of the cone algebra with asymptotics." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2567/.

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The cone algebra with discrete asymptotics on a manifold with conical singularities is shown to be invariant under natural coordinate changes, where the symbol structure (i.e., the Fuchsian interior symbol, conormal symbols of all orders) follows a corresponding transformation rule.
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Rossi, Marco. "Dynamics and stability of discrete and continuous structures: flutter instability in piecewise-smooth mechanical systems and cloaking for wave propagation in Kirchhoff plates." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/322240.

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The first part of this Thesis deals with the analysis of piecewise-smooth mechanical systems and the definition of special stability criteria in presence of non-conservative follower forces. To illustrate the peculiar stability properties of this kind of dynamical system, a reference 2 d.o.f. structure has been considered, composed of a rigid bar, with one and constrained to slide, without friction, along a curved profile, whereas the other and is subject to a follower force. In particular, the curved constraint is assumed to be composed of two circular profiles, with different and opposite curvatures, defining two separated subsystems. Due to this jump in the curvature, located at the junction point between the curved profiles, the entire mechanical structure can be modelled by discontinuous equations of motion, the differential equations valid in each subsystem can be combined, leading to the definition of a piecewise-smooth dynamical system. When a follower force acts on the structure, an unexpected and counterintuitive behaviour may occur: although the two subsystems are stable when analysed separately, the composed structure is unstable and exhibits flutter-like exponentially-growing oscillations. This special form of instability, previously known only from a mathematical point of view, has been analysed in depth from an engineering perspective, thus finding a mechanical interpretation based on the concept of non-conservative follower load. Moreover, the goal of this work is also the definition of some stability criteria that may help the design of these mechanical piecewise-smooth systems, since classical theorems cannot be used for the investigation of equilibrium configurations located at the discontinuity. In the literature, this unusual behaviour has been explained, from a mathematical perspective, through the existence of a discontinuous invariant cone in the phase space. For this reason, starting from the mechanical system described above, the existence of invariant cones in 2 d.o.f. mechanical systems is investigated through Poincaré maps. A complete theoretical analysis on piecewise-smooth dynamical systems is presented and special mathematical properties have been discovered, valid for generic 2~d.o.f. piecewise-smooth mechanical systems, which are useful for the characterisation of the stability of the equilibrium configurations. Numerical tools are implemented for the analysis of a 2~d.o.f. piecewise-smooth mechanical system, valid for piecewise-linear cases and extendible to the nonlinear ones. A numerical code has been developed, with the aim of predicting the stability of a piecewise-linear dynamical system a priori, varying the mechanical parameters. Moreover, “design maps” are produced for a given subset of the parameters space, so that a system with a desired stable or unstable behaviour can easily be designed. The aforementioned results can find applications in soft actuation or energy harvesting. In particular, in systems devoted to exploiting the flutter-like instability, the range of design parameters can be extended by using piecewise-smooth instead of smooth structures, since unstable flutter-like behaviour is possible also when each subsystem is actually stable. The second part of this Thesis deals with the numerical analysis of an elastic cloak for transient flexural waves in Kirchhoff-Love plates and the design of special metamaterials for this goal. In the literature, relevant applications of transformation elastodynamics have revealed that flexural waves in thin elastic plates can be diverted and channelled, with the aim of shielding a given region of the ambient space. However, the theoretical transformations which define the elastic properties of this “invisibility cloak” lead to the presence of a strong compressive prestress, which may be unfeasible for real applications. Moreover, this theoretical cloak must present, at the same time, high bending stiffness and a null twisting rigidity. In this Thesis, an orthotropic meta-structural plate is proposed as an approximated elastic cloak and the presence of the prestress has been neglected in order to be closer to a realistic design. With the aim of estimating the performance of this approximated cloak, a Finite Element code is implemented, based on a sub-parametric technique. The tool allows the investigation of the sensitivity of specific stiffness parameters that may be difficult to match in a real cloak design. Moreover, the Finite Element code is extended to investigate a meta-plate interacting with a Winkler foundation, to analyse how the substrate modulus transforms in the cloak region. This second topic of the Thesis may find applications in the realization of approximated invisibility cloaks, which can be employed to reduce the destructive effects of earthquakes on civil structures or to shield mechanical components from unwanted vibrations.
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Jorge, Guilherme Henrique Renó. "Arquitetura para extração de características invariantes em imagens binárias utilizando dispositivos de lógica programável complexa." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/18/18133/tde-06022007-141241/.

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Os projetistas de sistemas digitais enfrentam sempre o desafio de encontrar o balanço correto entre velocidade e generalidade de processamento de seu hardware. Originalmente dispositivos de lógica programável de alta densidade como FPGAs (Field Programable Gate Arrays) e CPLDs (Complex Logic Programmable Devices) vinham sendo utilizados como dispositivos de lógica acoplada(glue logic), reduzindo significantemente o número de componentes em um sistema. Seu uso como forma de substituir arquiteturas já existentes de microcontroladores e microprocessadores já é uma realidade. A representação e reconhecimento de objetos em imagens de duas dimensões é um tópico importante. Uma forma comum de se fazer a representação de um objeto ou uma imagem é a utilização de momentos da função de intensidade de um grupo de pixels. Devido ao alto custo computacional para o cálculo desses momentos tem sido importante a busca por arquiteturas que de alguma forma agilizem o cálculo dos mesmos. Um problema enfrentado por arquiteturas desenvolvidas atualmente para trabalhar em forma de periférico com um computador pessoal (PC) ou uma estação de trabalho é a velocidade do barramento de transferência de dados. Interfaces de uso mais simples, como USB (Universal Serial Bus) ou Ethernet, têm sua taxa de transferência na casa dos megabytes por segundo. Uma solução para esse problema é o uso do barramento PCI, as transferências feitas nesse barramento podem chegar à casa dos gigabytes por segundo. Esse trabalho vem apresentar uma arquitetura, em forma de soft core totalmente compatível com o padrão Wishbone, para a extração de características invariantes em imagens binárias utilizando-se de dispositivos de lógica programável complexa. Desse modo torna-se possível o uso do barramento PCI para a transmissão de dados para um microcomputador ou uma estação de trabalho.
A challenge for digital systems designers is to meet the balance between speed and flexibility was always. FPGAs and CPLDs where used as glue logic, reducing the number of components in a system. The use of programmable logic (CPLDs and FPGAs) as an alternative to microcontrollers and microprocessors is a real issue. Moments of the intensity function of a group of pixels have been used for the representation and recognition of objects in two dimensional images. Due to the high cost of computing the moments, the search for faster computing architectures is very important. A problem faced by nowadays developed architectures is the speed of computer communication buses. Simpler interfaces, as USB (Universal Serial Bus) and Ethernet, have their transfer rate in megabytes per second. A solution for this problem is the use the PCI bus, where the transfer rate can achieve gigabytes per second. This work presents a soft core architecture, fully compatible with the Wishbone standard, for the extraction of invariant characteristics from binary images using logic programmable devices.
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Riley, Timothy Rupert. "Asymptotic invariants of infinite discrete groups." Thesis, University of Oxford, 2002. http://ora.ox.ac.uk/objects/uuid:30f42f4c-e592-44c2-9954-7d9e8c1f3d13.

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Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view the group from increasingly distant vantage points. The group coalesces to an "asymptotic cone" in the limit (this is made precise using techniques of non-standard analysis). The reward is that in place of the discrete group one has a continuous object "that is amenable to attack by geometric (e.g. topological, infinitesimal) machinery" (to quote Gromov). We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms of certain filling functions concerning filling N-spheres in an appropriately coarse sense. We interpret the criteria in the case where X is a finitely generated group Γ with a word metric. This leads to upper bounds on filling functions for groups with simply connected cones -- in particular they have linearly bounded filling length functions. We prove that if all the asymptotic cones of Γ are N-connected then Γ is of type FN+1 and we provide N-th order isoperimetric and isodiametric functions. Also we show that the asymptotic cones of a virtually polycyclic group Γ are all contractible if and only if Γ is virtually nilpotent. Combable groups and almost-convex groups. A combing of a finitely generated group Γ is a normal form; that is a choice of word (a combing line) for each group element that satisfies a geometric constraint: nearby group elements have combing lines that fellow travel. An almost-convexity condition concerns the geometry of closed balls in the Cayley graph for Γ. We show that even the most mild combability or almost-convexity restrictions on a finitely presented group already force surprisingly strong constraints on the geometry of its word problem. In both cases we obtain an n! isoperimetric function, and upper bounds of ~ n2 on both the minimal isodiametric function and the filling length function.
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SILVA, Thársis Souza. "Equações Diferenciais por partes:ciclos limite e cones invaiantes." Universidade Federal de Goiás, 2011. http://repositorio.bc.ufg.br/tede/handle/tde/1945.

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Made available in DSpace on 2014-07-29T16:02:18Z (GMT). No. of bitstreams: 1 Dissertacao Tharsis Souza Silva.pdf: 1389814 bytes, checksum: c28dfe55ac776a4de30d43875907dc64 (MD5) Previous issue date: 2011-03-25
In this work, we consider classes of discontinuous piecewise linear systems in the plane and continuous in the space. In the plane, we analyze systems of focus-focus (FF), focusparabolic (FP) and parabolic-parabolic (PP) type, separated by the straight line x = 0, and we prove that can appear until two limit cycles depending of parameters variations. Also we study a specific system, piecewise, with two saddles (one fixed in the origin and the other in the neighborhood of point (1;1)) separated by the straight line y= -x+1, and we show that can appear until two limit cycles depending of parameters variations. Finally, we examine a continuous piecewise linear system in R³ and we prove the existence of invariant cones and, through this structures, we determine some stable and unstable behavior.
Neste trabalho, consideramos classes de sistemas lineares por partes descontínuos no plano e contínuos no espaço. No plano, analisamos sistemas do tipo foco-foco (FF), parabólico-foco (PF) e parabólico-parabólico (PP) separados pela reta x = 0 e demonstramos que podem aparecer até dois ciclos limite, dependendo de variações de parâmetros. Também estudamos um sistema específico, linear por partes, com duas selas (uma sela fixa na origem e outra na vizinhança do ponto (1;1)) separadas pela reta y= -x+1 , e mostramos que podem aparecer até dois ciclos limite dependendo de variações de parâmetros. Por fim, examinamos um sistema linear por partes contínuo em R³ e demonstramos a existência de cones invariantes e, através destas estruturas, determinamos alguns comportamentos estáveis e instáveis.
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Constantin, Elena. "Optimization and flow invariance via high order tangent cones." Ohio : Ohio University, 2005. http://www.ohiolink.edu/etd/view.cgi?ohiou1125418579.

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Books on the topic "Invariant cone"

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Fossum, R., W. Haboush, M. Hochster, and V. Lakshmibai, eds. Invariant Theory. Providence, Rhode Island: American Mathematical Society, 1989. http://dx.doi.org/10.1090/conm/088.

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Meyer, Jean-Pierre, Jack Morava, and W. Stephen Wilson, eds. Homotopy Invariant Algebraic Structures. Providence, Rhode Island: American Mathematical Society, 1999. http://dx.doi.org/10.1090/conm/239.

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Mashreghi, Javad, Emmanuel Fricain, and William Ross, eds. Invariant Subspaces of the Shift Operator. Providence, Rhode Island: American Mathematical Society, 2015. http://dx.doi.org/10.1090/conm/638.

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Kaminker, Jerome, ed. Geometric and Topological Invariants of Elliptic Operators. Providence, Rhode Island: American Mathematical Society, 1990. http://dx.doi.org/10.1090/conm/105.

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Flapan, Erica, Allison Henrich, Aaron Kaestner, and Sam Nelson, eds. Knots, Links, Spatial Graphs, and Algebraic Invariants. Providence, Rhode Island: American Mathematical Society, 2017. http://dx.doi.org/10.1090/conm/689.

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Harding, Andrew. Uniqueness of g-measures and the invariance of the beta-function under finitary isomorphisms: With finite expected code lengths, between g-spaces. [s.l.]: typescript, 1985.

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Sorrentino, Alfonso. Action-minimizing Methods in Hamiltonian Dynamics (MN-50). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.001.0001.

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John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach—known as Aubry–Mather theory—singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic. Starting with the mathematical background from which Mather's theory was born, the book first focuses on the core questions the theory aims to answer—notably the destiny of broken invariant KAM tori and the onset of chaos—and describes how it can be viewed as a natural counterpart of KAM theory. The book achieves this by guiding readers through a detailed illustrative example, which also provides the basis for introducing the main ideas and concepts of the general theory. It then describes the whole theory and its subsequent developments and applications in their full generality.
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Tennant, Neil. From the Logic of Evaluation to the Logic of Deduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198777892.003.0004.

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We deliver the details on the smooth morphing from the verification and falsification rules of the model-relative Logic of Evaluation to the model-invariant, deductive rules of Core Logic. There are good reasons for preferring the parallelized forms of certain elimination rules in natural deduction (the ones for conjunction, the conditional, and the universal quantifier) to their more conventional serial forms. We explain how ⊥ can make its way into proofs as a conclusion, as required for applications of ¬-Introduction. We discuss the notion of harmony between introduction and elimination rules, in preparation for the full treatment of reduction procedures for the logical operators that will be provided in Chapter 6.
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Glanville, Peter John. The beginnings of a system. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198792734.003.0008.

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Chapter 8 concludes the book with a theory of how the verb patterns of Arabic have come to exist. It presents evidence from numerous studies of grammaticalization that show bound morphemes developing from full lexical words which reduce phonetically and fuse with other words, and it asserts that Arabic verb patterns are the result of a similar process. It also argues that once created, verb patterns become associated with abstract relational structures, allowing them to be employed in a wider range of contexts. The chapter discusses the role of analogy and linguistic categorization in shape-invariant morphology, and illustrates how derivation within this system reflects a cognitive operation termed conceptual blending. The final section discusses directions for further research.
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Alfano, Mark, LaTasha Holden, and Andrew Conway. Intelligence, Race, and Psychological Testing. Edited by Naomi Zack. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780190236953.013.2.

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Philosophers have in recent decades neglected the state of the art on the psychology of intelligence tests as related to racial difference. A major theoretical issue is the measurement invariance of intelligence tests, the fact that blacks, Latinos, women, poor people, and other marginalized groups perform worse than average on a variety of different intelligence tests. But the skepticism now surrounding measurement invariance includes the importance of stereotype threat or the correlation of decreased performance level after test takers are exposed to stereotypes about themselves. Recent research suggests that people’s conceptions of intelligence influence how their own intelligence is expressed. In a study when high school students were informed that intelligence is not an essential or racially determined property, higher grades and better performance in core courses resulted.
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Book chapters on the topic "Invariant cone"

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Kroon, Dirk-Jan, Cornelis H. Slump, and Thomas J. J. Maal. "Optimized Anisotropic Rotational Invariant Diffusion Scheme on Cone-Beam CT." In Medical Image Computing and Computer-Assisted Intervention – MICCAI 2010, 221–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15711-0_28.

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Tolosa, Juan. "Rational Cone of Norm-Invariant Vectors Under a Matrix Action." In Communications in Computer and Information Science, 394–409. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81698-8_26.

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Awada, M., and F. Mansouri. "A Scale Invariant Superstring Theory With Dimensionless Coupling To Supersymmetric Gauge Theories." In Neutrino Mass, Dark Matter, Gravitational Waves, Monopole Condensation, and Light Cone Quantization, 49–56. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4899-1564-1_6.

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Kisi, Ömer, Mehmet Gürdal, and Erhan Güler. "New Observations on Lacunary 𝓘-Invariant Convergence for Sequences in Fuzzy Cone Normed Spaces." In Soft Computing, 107–22. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003312017-8.

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Leonov, Gennadij A., Volker Reitmann, and Vera B. Smirnova. "Invariant Cones." In Non-Local Methods for Pendulum-Like Feedback Systems, 47–61. Wiesbaden: Vieweg+Teubner Verlag, 1992. http://dx.doi.org/10.1007/978-3-663-12261-6_3.

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Constantin, P., C. Foias, B. Nicolaenko, and R. Teman. "Cone Invariance Properties." In Applied Mathematical Sciences, 29–32. New York, NY: Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3506-4_6.

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Cholewinski, Frank M. "9. Generalized Shift Invariant Operators." In Contemporary Mathematics, 44–49. Providence, Rhode Island: American Mathematical Society, 1988. http://dx.doi.org/10.1090/conm/075/09.

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Lange, Ridgley, and Sheng Wang Wang. "Chapter IV: Invariant Subspaces for Subdecomposable Operators." In New Approaches in Spectral Decomposition, 115–58. Providence, Rhode Island: American Mathematical Society, 1992. http://dx.doi.org/10.1090/conm/128/04.

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Cholewinski, Frank M. "10. The Generalized Derivative of v-Shift Invariant Operators." In Contemporary Mathematics, 50–58. Providence, Rhode Island: American Mathematical Society, 1988. http://dx.doi.org/10.1090/conm/075/10.

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Hilgert, Joachim, and Karl-Hermann Neeb. "Invariant Cones and Ol'shanskii semigroups." In Lecture Notes in Mathematics, 177–201. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0084647.

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Conference papers on the topic "Invariant cone"

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Feyzmahdavian, Hamid Reza, Themistoklis Charalambous, and Mikael Johansson. "Delay-independent stability of cone-invariant monotone systems." In 2015 54th IEEE Conference on Decision and Control (CDC). IEEE, 2015. http://dx.doi.org/10.1109/cdc.2015.7403221.

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Polyzou, Wayne, Charlotte Elster, T. Lin, Walter Glöckle, Jacek Golak, Hiroyuki Kamada, Bradley D. Keister, et al. "A Poincare invariant treatment of the three-nucleon problem." In LIGHT CONE 2008 Relativistic Nuclear and Particle Physics. Trieste, Italy: Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.061.0039.

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Polyzou, Wayne, and Phil Kopp. "Poincare Invariant Quantum Mechancis based on Euclidean Green functions." In Light Cone 2010: Relativistic Hadronic and Particle Physics. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.119.0012.

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Raoufat, M. Ehsan, and Seddik M. Djouadi. "Optimal $\mathcal{H}_{2}$ Decentralized Control of Cone Causal Spatially Invariant Systems." In 2018 Annual American Control Conference (ACC). IEEE, 2018. http://dx.doi.org/10.23919/acc.2018.8430811.

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Zheng, Jianying, Yanqiong Zhang, and Li Qiu. "Projected spectrahedral cone-invariant realization of an LTI system with nonnegative impulse response." In 2016 IEEE 55th Conference on Decision and Control (CDC). IEEE, 2016. http://dx.doi.org/10.1109/cdc.2016.7799287.

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Yu, Z., F. Noo, G. Lauritsch, A. Maier, F. Dennerlein, and J. Hornegger. "Shift-invariant cone-beam reconstruction outside R-lines with a disconnected source trajectory." In 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference (2012 NSS/MIC). IEEE, 2012. http://dx.doi.org/10.1109/nssmic.2012.6551786.

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Chen, Liyang, Yuqiang Wang, Yanhui Liu, and Y. Jay Guo. "Synthesis of Frequency-invariant Beam Patterns under Accurate Sidelobe Control by Second-order Cone Programming." In 2019 Photonics & Electromagnetics Research Symposium - Fall (PIERS - Fall). IEEE, 2019. http://dx.doi.org/10.1109/piers-fall48861.2019.9021542.

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Calkins, David J. "Invariant responses of opponent colors mechanisms." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.fa5.

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The threshold increment spectral sensitivity for a foveally presented 0.5-s raised cosine having blurred edges exhibits a Sloan notch which coincides with the wavelength of the adapting field and is typically 0.6 log units deep on a 578-nm field of 0.10 log quanta deg−2 s−1.1 In a previous abstract2 it was reported that the long-wave side of the Sloan notch pairs of suprathreshold stimuli of different wavelengths could be found that were indiscriminable. We have repeated and extended those results. A 650-nm standard test stimulus 0.3, 0.5, or 0.7 log units above threshold was paired with a randomly selected, variable intensity light of another wavelength between 600 and 670 nm, and the observer was forced to select the standard. For two observers it was possible to obtain complete action spectra of lights that could not be distinguished from the standard at the noted units above threshold. Truncated indiscriminability spectra were also obtained on the midwave side of the Sloan notch. In all cases the indiscriminability spectra were identical in form with the threshold action spectrum. Because the Sloan notch action spectrum is manifestly cone-antagonistic, it can be concluded that the indiscriminable stimuli are rendered so not at the quantum catch level, but rather at a proximal site where the antagonistic signals converge.
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Zaidi, Qasim. "Individual differences in color perception." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1986. http://dx.doi.org/10.1364/oam.1986.my5.

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Differences exist between observers in the appearance of both colors that are presented in isolation and those that are presented in juxtaposition with other colors. Observers differ in their choice of the four unique hues, their choice of invariant hues, and in the reported appearance of entoptic phenomena like the Maxwell spot. These differences are examined by incorporating variation in cone spectral sensitivities and cone ratios into methods previously used to analyze the effect of variation in lens and macular pigment on color matches1 and cone fundamentals.2 Observers also differ in the effect that surrounding colors have on the appearance of focal colors. It has been shown that color contrast cannot be explained by lateral interactions within photoreceptor classes nor by lateral interactions within second-stage linear opponent mechanisms, but only at the level of color mechanisms beyond the interaction of the second-stage mechanisms.3 Individual differences may provide useful information about such higher-order color mechanisms.
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Shi, Linxi, Lei Zhu, and Adam Wang. "Toward quantitative short-scan cone beam CT using shift-invariant filtered-backprojection with equal weighting and image domain shading correction." In The Fifteenth International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, edited by Samuel Matej and Scott D. Metzler. SPIE, 2019. http://dx.doi.org/10.1117/12.2534900.

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